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230011102332 = 223311551935081
BaseRepresentation
bin1101011000110110111…
…0101110010001111100
3210222200212110122102000
43112031232232101330
512232030320233312
6253355440102300
722421614053114
oct3261556562174
9728625418360
10230011102332
11896022a8610
12386b2304990
13188c7aa07ab
14b1bdbba044
155eb3042adc
hex358dbae47c

230011102332 has 96 divisors (see below), whose sum is σ = 650672870400. Its totient is φ = 69685718400.

The previous prime is 230011102301. The next prime is 230011102333. The reversal of 230011102332 is 233201110032.

230011102332 is a `hidden beast` number, since 230 + 0 + 1 + 1 + 102 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230011102333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6539032 + ... + 6574112.

It is an arithmetic number, because the mean of its divisors is an integer number (6777842400).

Almost surely, 2230011102332 is an apocalyptic number.

230011102332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230011102332 is an abundant number, since it is smaller than the sum of its proper divisors (420661768068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230011102332 is a wasteful number, since it uses less digits than its factorization.

230011102332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40624 (or 40616 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230011102332 its reverse (233201110032), we get a palindrome (463212212364).

The spelling of 230011102332 in words is "two hundred thirty billion, eleven million, one hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 5519 11038 16557 22076 33114 35081 49671 60709 66228 70162 99342 105243 121418 140324 149013 182127 198684 210486 242836 298026 315729 364254 385891 420972 546381 596052 631458 728508 771782 947187 1092762 1157673 1262916 1543564 1639143 1894374 2185524 2315346 3278286 3473019 3788748 4630692 6556572 6946038 10419057 13892076 20838114 41676228 193612039 387224078 580836117 774448156 1161672234 1742508351 2129732429 2323344468 3485016702 4259464858 5227525053 6389197287 6970033404 8518929716 10455050106 12778394574 19167591861 20910100212 25556789148 38335183722 57502775583 76670367444 115005551166 230011102332